TSTP Solution File: SEU135+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SEU135+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:32:04 EDT 2022

% Result   : Theorem 1.59s 0.56s
% Output   : Refutation 1.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   70 (  13 unt;   0 def)
%            Number of atoms       :  291 (  40 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  360 ( 139   ~; 140   |;  65   &)
%                                         (  10 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-3 aty)
%            Number of variables   :  140 ( 123   !;  17   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f221,plain,
    $false,
    inference(subsumption_resolution,[],[f217,f218]) ).

fof(f218,plain,
    in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),sK5),
    inference(subsumption_resolution,[],[f208,f214]) ).

fof(f214,plain,
    ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),sK6),
    inference(resolution,[],[f213,f108]) ).

fof(f108,plain,
    ! [X2,X1,X4] :
      ( in(X4,set_union2(X1,X2))
      | ~ in(X4,X1) ),
    inference(equality_resolution,[],[f85]) ).

fof(f85,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X1)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X1,X2) = X0
        | ( ( ( ~ in(sK2(X0,X1,X2),X2)
              & ~ in(sK2(X0,X1,X2),X1) )
            | ~ in(sK2(X0,X1,X2),X0) )
          & ( in(sK2(X0,X1,X2),X2)
            | in(sK2(X0,X1,X2),X1)
            | in(sK2(X0,X1,X2),X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ( ~ in(X4,X2)
                & ~ in(X4,X1) ) )
            & ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) ) )
        | set_union2(X1,X2) != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f54,f55]) ).

fof(f55,plain,
    ! [X0,X1,X2] :
      ( ? [X3] :
          ( ( ( ~ in(X3,X2)
              & ~ in(X3,X1) )
            | ~ in(X3,X0) )
          & ( in(X3,X2)
            | in(X3,X1)
            | in(X3,X0) ) )
     => ( ( ( ~ in(sK2(X0,X1,X2),X2)
            & ~ in(sK2(X0,X1,X2),X1) )
          | ~ in(sK2(X0,X1,X2),X0) )
        & ( in(sK2(X0,X1,X2),X2)
          | in(sK2(X0,X1,X2),X1)
          | in(sK2(X0,X1,X2),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f54,plain,
    ! [X0,X1,X2] :
      ( ( set_union2(X1,X2) = X0
        | ? [X3] :
            ( ( ( ~ in(X3,X2)
                & ~ in(X3,X1) )
              | ~ in(X3,X0) )
            & ( in(X3,X2)
              | in(X3,X1)
              | in(X3,X0) ) ) )
      & ( ! [X4] :
            ( ( in(X4,X0)
              | ( ~ in(X4,X2)
                & ~ in(X4,X1) ) )
            & ( in(X4,X2)
              | in(X4,X1)
              | ~ in(X4,X0) ) )
        | set_union2(X1,X2) != X0 ) ),
    inference(rectify,[],[f53]) ).

fof(f53,plain,
    ! [X2,X0,X1] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(flattening,[],[f52]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( ( set_union2(X0,X1) = X2
        | ? [X3] :
            ( ( ( ~ in(X3,X1)
                & ~ in(X3,X0) )
              | ~ in(X3,X2) )
            & ( in(X3,X1)
              | in(X3,X0)
              | in(X3,X2) ) ) )
      & ( ! [X3] :
            ( ( in(X3,X2)
              | ( ~ in(X3,X1)
                & ~ in(X3,X0) ) )
            & ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) ) )
        | set_union2(X0,X1) != X2 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( set_union2(X0,X1) = X2
    <=> ! [X3] :
          ( in(X3,X2)
        <=> ( in(X3,X1)
            | in(X3,X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).

fof(f213,plain,
    ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6))),
    inference(subsumption_resolution,[],[f210,f165]) ).

fof(f165,plain,
    ( ~ in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK5)
    | ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(resolution,[],[f158,f107]) ).

fof(f107,plain,
    ! [X2,X1,X4] :
      ( in(X4,set_union2(X1,X2))
      | ~ in(X4,X2) ),
    inference(equality_resolution,[],[f86]) ).

fof(f86,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X0)
      | ~ in(X4,X2)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f158,plain,
    ( ~ in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_union2(sK6,sK5))
    | ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(resolution,[],[f156,f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ in(sK3(X0,X1),X1) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ( ~ in(sK3(X0,X1),X1)
          & in(sK3(X0,X1),X0) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f59,f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ in(X3,X1)
          & in(X3,X0) )
     => ( ~ in(sK3(X0,X1),X1)
        & in(sK3(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ? [X3] :
            ( ~ in(X3,X1)
            & in(X3,X0) ) ) ),
    inference(rectify,[],[f58]) ).

fof(f58,plain,
    ! [X1,X0] :
      ( ( ! [X2] :
            ( in(X2,X0)
            | ~ in(X2,X1) )
        | ~ subset(X1,X0) )
      & ( subset(X1,X0)
        | ? [X2] :
            ( ~ in(X2,X0)
            & in(X2,X1) ) ) ),
    inference(nnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X1,X0] :
      ( ! [X2] :
          ( in(X2,X0)
          | ~ in(X2,X1) )
    <=> subset(X1,X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,plain,
    ! [X1,X0] :
      ( subset(X1,X0)
    <=> ! [X2] :
          ( in(X2,X1)
         => in(X2,X0) ) ),
    inference(rectify,[],[f5]) ).

fof(f5,axiom,
    ! [X1,X0] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).

fof(f156,plain,
    ( ~ subset(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6)))
    | ~ in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_union2(sK6,sK5)) ),
    inference(resolution,[],[f151,f92]) ).

fof(f151,plain,
    ( ~ subset(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5))
    | ~ subset(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(extensionality_resolution,[],[f82,f100]) ).

fof(f100,plain,
    set_union2(sK6,sK5) != set_union2(sK6,set_difference(sK5,sK6)),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    set_union2(sK6,sK5) != set_union2(sK6,set_difference(sK5,sK6)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f65,f66]) ).

fof(f66,plain,
    ( ? [X0,X1] : set_union2(X1,X0) != set_union2(X1,set_difference(X0,X1))
   => set_union2(sK6,sK5) != set_union2(sK6,set_difference(sK5,sK6)) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ? [X0,X1] : set_union2(X1,X0) != set_union2(X1,set_difference(X0,X1)),
    inference(rectify,[],[f33]) ).

fof(f33,plain,
    ? [X1,X0] : set_union2(X0,X1) != set_union2(X0,set_difference(X1,X0)),
    inference(ennf_transformation,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X1,X0] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X1,X0] : set_union2(X0,X1) = set_union2(X0,set_difference(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).

fof(f82,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | ~ subset(X1,X0)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | ~ subset(X0,X1)
        | ~ subset(X1,X0) )
      & ( ( subset(X0,X1)
          & subset(X1,X0) )
        | X0 != X1 ) ),
    inference(rectify,[],[f50]) ).

fof(f50,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(flattening,[],[f49]) ).

fof(f49,plain,
    ! [X1,X0] :
      ( ( X0 = X1
        | ~ subset(X1,X0)
        | ~ subset(X0,X1) )
      & ( ( subset(X1,X0)
          & subset(X0,X1) )
        | X0 != X1 ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X1,X0] :
      ( X0 = X1
    <=> ( subset(X1,X0)
        & subset(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).

fof(f210,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK5)
    | ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(resolution,[],[f202,f104]) ).

fof(f104,plain,
    ! [X2,X3,X1] :
      ( ~ in(X3,set_difference(X1,X2))
      | in(X3,X1) ),
    inference(equality_resolution,[],[f76]) ).

fof(f76,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X1)
      | ~ in(X3,X0)
      | set_difference(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X0)
              | in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( ~ in(X3,X2)
                & in(X3,X1) )
              | ~ in(X3,X0) ) )
        | set_difference(X1,X2) != X0 )
      & ( set_difference(X1,X2) = X0
        | ( ( in(sK1(X0,X1,X2),X2)
            | ~ in(sK1(X0,X1,X2),X1)
            | ~ in(sK1(X0,X1,X2),X0) )
          & ( ( ~ in(sK1(X0,X1,X2),X2)
              & in(sK1(X0,X1,X2),X1) )
            | in(sK1(X0,X1,X2),X0) ) ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f46,f47]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ? [X4] :
          ( ( in(X4,X2)
            | ~ in(X4,X1)
            | ~ in(X4,X0) )
          & ( ( ~ in(X4,X2)
              & in(X4,X1) )
            | in(X4,X0) ) )
     => ( ( in(sK1(X0,X1,X2),X2)
          | ~ in(sK1(X0,X1,X2),X1)
          | ~ in(sK1(X0,X1,X2),X0) )
        & ( ( ~ in(sK1(X0,X1,X2),X2)
            & in(sK1(X0,X1,X2),X1) )
          | in(sK1(X0,X1,X2),X0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,plain,
    ! [X0,X1,X2] :
      ( ( ! [X3] :
            ( ( in(X3,X0)
              | in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( ~ in(X3,X2)
                & in(X3,X1) )
              | ~ in(X3,X0) ) )
        | set_difference(X1,X2) != X0 )
      & ( set_difference(X1,X2) = X0
        | ? [X4] :
            ( ( in(X4,X2)
              | ~ in(X4,X1)
              | ~ in(X4,X0) )
            & ( ( ~ in(X4,X2)
                & in(X4,X1) )
              | in(X4,X0) ) ) ) ),
    inference(rectify,[],[f45]) ).

fof(f45,plain,
    ! [X1,X2,X0] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X0)
                & in(X3,X2) )
              | ~ in(X3,X1) ) )
        | set_difference(X2,X0) != X1 )
      & ( set_difference(X2,X0) = X1
        | ? [X3] :
            ( ( in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( ~ in(X3,X0)
                & in(X3,X2) )
              | in(X3,X1) ) ) ) ),
    inference(flattening,[],[f44]) ).

fof(f44,plain,
    ! [X1,X2,X0] :
      ( ( ! [X3] :
            ( ( in(X3,X1)
              | in(X3,X0)
              | ~ in(X3,X2) )
            & ( ( ~ in(X3,X0)
                & in(X3,X2) )
              | ~ in(X3,X1) ) )
        | set_difference(X2,X0) != X1 )
      & ( set_difference(X2,X0) = X1
        | ? [X3] :
            ( ( in(X3,X0)
              | ~ in(X3,X2)
              | ~ in(X3,X1) )
            & ( ( ~ in(X3,X0)
                & in(X3,X2) )
              | in(X3,X1) ) ) ) ),
    inference(nnf_transformation,[],[f29]) ).

fof(f29,plain,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( in(X3,X1)
        <=> ( ~ in(X3,X0)
            & in(X3,X2) ) )
    <=> set_difference(X2,X0) = X1 ),
    inference(rectify,[],[f6]) ).

fof(f6,axiom,
    ! [X1,X2,X0] :
      ( ! [X3] :
          ( ( in(X3,X0)
            & ~ in(X3,X1) )
        <=> in(X3,X2) )
    <=> set_difference(X0,X1) = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).

fof(f202,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_difference(sK5,sK6))
    | ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(subsumption_resolution,[],[f191,f164]) ).

fof(f164,plain,
    ( ~ in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK6)
    | ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(resolution,[],[f158,f108]) ).

fof(f191,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_difference(sK5,sK6))
    | ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6)))
    | in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK6) ),
    inference(resolution,[],[f109,f160]) ).

fof(f160,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_union2(sK6,set_difference(sK5,sK6)))
    | ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(resolution,[],[f157,f92]) ).

fof(f157,plain,
    ( ~ subset(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6)))
    | in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_union2(sK6,set_difference(sK5,sK6))) ),
    inference(resolution,[],[f151,f91]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sK3(X0,X1),X0) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f109,plain,
    ! [X2,X1,X4] :
      ( ~ in(X4,set_union2(X1,X2))
      | in(X4,X2)
      | in(X4,X1) ),
    inference(equality_resolution,[],[f84]) ).

fof(f84,plain,
    ! [X2,X0,X1,X4] :
      ( in(X4,X2)
      | in(X4,X1)
      | ~ in(X4,X0)
      | set_union2(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f56]) ).

fof(f208,plain,
    ( in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),sK5)
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),sK6) ),
    inference(resolution,[],[f207,f109]) ).

fof(f207,plain,
    in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)),
    inference(subsumption_resolution,[],[f204,f163]) ).

fof(f163,plain,
    ( ~ in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK5)
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)) ),
    inference(resolution,[],[f159,f107]) ).

fof(f159,plain,
    ( ~ in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_union2(sK6,sK5))
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)) ),
    inference(resolution,[],[f156,f91]) ).

fof(f204,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK5)
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)) ),
    inference(resolution,[],[f203,f104]) ).

fof(f203,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_difference(sK5,sK6))
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)) ),
    inference(subsumption_resolution,[],[f192,f162]) ).

fof(f162,plain,
    ( ~ in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK6)
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)) ),
    inference(resolution,[],[f159,f108]) ).

fof(f192,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),sK6)
    | in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_difference(sK5,sK6))
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)) ),
    inference(resolution,[],[f109,f161]) ).

fof(f161,plain,
    ( in(sK3(set_union2(sK6,set_difference(sK5,sK6)),set_union2(sK6,sK5)),set_union2(sK6,set_difference(sK5,sK6)))
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_union2(sK6,sK5)) ),
    inference(resolution,[],[f157,f91]) ).

fof(f217,plain,
    ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),sK5),
    inference(subsumption_resolution,[],[f216,f214]) ).

fof(f216,plain,
    ( ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),sK5)
    | in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),sK6) ),
    inference(resolution,[],[f215,f102]) ).

fof(f102,plain,
    ! [X2,X3,X1] :
      ( in(X3,set_difference(X1,X2))
      | in(X3,X2)
      | ~ in(X3,X1) ),
    inference(equality_resolution,[],[f78]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1] :
      ( in(X3,X0)
      | in(X3,X2)
      | ~ in(X3,X1)
      | set_difference(X1,X2) != X0 ),
    inference(cnf_transformation,[],[f48]) ).

fof(f215,plain,
    ~ in(sK3(set_union2(sK6,sK5),set_union2(sK6,set_difference(sK5,sK6))),set_difference(sK5,sK6)),
    inference(resolution,[],[f213,f107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SEU135+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 14:42:56 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.51  % (21331)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51  % (21314)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.51  % (21315)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.51  % (21319)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52  % (21341)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.52  % (21336)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.52  % (21325)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (21316)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52  % (21317)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.52  % (21319)Instruction limit reached!
% 0.18/0.52  % (21319)------------------------------
% 0.18/0.52  % (21319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (21319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (21319)Termination reason: Unknown
% 0.18/0.52  % (21319)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (21319)Memory used [KB]: 5500
% 0.18/0.52  % (21319)Time elapsed: 0.124 s
% 0.18/0.52  % (21319)Instructions burned: 9 (million)
% 0.18/0.52  % (21319)------------------------------
% 0.18/0.52  % (21319)------------------------------
% 0.18/0.52  % (21337)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52  % (21328)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52  % (21313)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52  % (21320)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.52  % (21340)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.52  % (21320)Instruction limit reached!
% 0.18/0.52  % (21320)------------------------------
% 0.18/0.52  % (21320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (21320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (21320)Termination reason: Unknown
% 0.18/0.52  % (21320)Termination phase: Blocked clause elimination
% 0.18/0.52  
% 0.18/0.52  % (21320)Memory used [KB]: 895
% 0.18/0.52  % (21320)Time elapsed: 0.002 s
% 0.18/0.52  % (21320)Instructions burned: 2 (million)
% 0.18/0.52  % (21320)------------------------------
% 0.18/0.52  % (21320)------------------------------
% 0.18/0.52  % (21321)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (21312)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.53  % (21322)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53  % (21333)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53  % (21318)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53  % (21330)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (21313)Refutation not found, incomplete strategy% (21313)------------------------------
% 0.18/0.53  % (21313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (21313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (21313)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (21313)Memory used [KB]: 5500
% 0.18/0.53  % (21313)Time elapsed: 0.136 s
% 0.18/0.53  % (21313)Instructions burned: 5 (million)
% 0.18/0.53  % (21313)------------------------------
% 0.18/0.53  % (21313)------------------------------
% 0.18/0.53  % (21327)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  % (21334)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.53  % (21335)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  % (21339)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.53  TRYING [2]
% 0.18/0.53  % (21329)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53  % (21326)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.53  % (21332)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.53  TRYING [1]
% 0.18/0.53  % (21323)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53  % (21324)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.54  % (21338)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54  % (21334)First to succeed.
% 0.18/0.54  TRYING [2]
% 0.18/0.54  TRYING [3]
% 1.59/0.54  TRYING [3]
% 1.59/0.55  TRYING [2]
% 1.59/0.55  TRYING [3]
% 1.59/0.56  TRYING [4]
% 1.59/0.56  TRYING [4]
% 1.59/0.56  TRYING [4]
% 1.59/0.56  % (21334)Refutation found. Thanks to Tanya!
% 1.59/0.56  % SZS status Theorem for theBenchmark
% 1.59/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.59/0.56  % (21334)------------------------------
% 1.59/0.56  % (21334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.59/0.56  % (21334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.59/0.56  % (21334)Termination reason: Refutation
% 1.59/0.56  
% 1.59/0.56  % (21334)Memory used [KB]: 1023
% 1.59/0.56  % (21334)Time elapsed: 0.109 s
% 1.59/0.56  % (21334)Instructions burned: 11 (million)
% 1.59/0.56  % (21334)------------------------------
% 1.59/0.56  % (21334)------------------------------
% 1.59/0.56  % (21311)Success in time 0.219 s
%------------------------------------------------------------------------------